A spectral model for two-dimensional incompressible fluid flow in a circular basin. II: Numerical examples

DOI10.1006/jcph.1997.5748zbMath0889.76072OpenAlexW2883207965MaRDI QIDQ1368171

W. T. M. Verkley

Publication date: 25 June 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1997.5748

zbMATH Keywords

dissipationforcingtime integrations\(f\)-planebeta-planegamma-planeplanetary vorticity

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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An application of one-sided Jacobi polynomials for spectral modeling of vector fields in polar coordinates ⋮ Orthogonal polynomials and diffusion operators ⋮ Dipolar gyres generated by continuous forcing on a polar β-plane ⋮ A spectral model for two-dimensional incompressible fluid flow in a circular basin. I: Mathematical formulation ⋮ An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere ⋮ Maximum entropy versus minimum enstrophy vortices ⋮ Expansion functions for two-dimensional incompressible fluid flow in arbitrary domains ⋮ A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains ⋮ Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Cites Work

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